Qualitative Analysis of Rupture Solutions for an MEMS Problem
Analysis of PDEs
2013-04-12 v1
Abstract
We prove a sharp H\"older continuity estimates of rupture sets for sequences of solutions of the following nonlinear problem with negative exponent As a consequence, we prove the existence of rupture solutions with isolated ruptures in a bounded convex domain in .
Cite
@article{arxiv.1304.3211,
title = {Qualitative Analysis of Rupture Solutions for an MEMS Problem},
author = {Juan Davila and Kelei Wang and Juncheng Wei},
journal= {arXiv preprint arXiv:1304.3211},
year = {2013}
}